The number 9942
9942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1657. Divisors (8): 1, 2, 3, 6, 1657, 3314, 4971, 9942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9942 is composite. Its prime factorisation is
- 3
The divisors add up to 19896; without 9942 itself that is 9954, so 9942 is abundant (9954 is more than 9942). Euler's totient φ(9942) = 3312 numbers up to 9942 share no factor with it.
- 4
The digits of 9942 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9942 = 2 \times 3 \times 1657 \]
9942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19896 |
| Euler totient φ(n) | 3312 |
| Square | 98843364 |
| Cube | 982700724888 |
| Square root | 99.709578 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.942 × |
9942 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-two |
| Binary (base 2) | 10011011010110 |
| Octal (base 8) | 23326 |
| Hexadecimal (base 16) | 26D6 |
| Base 3 | 111122020 |
| As time | 9942 seconds = 2 h 45 min 42 s |
Is 9942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9942 ÷ 2 = 4971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9942 ÷ 3 = 3314) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9942 ÷ 6 = 1657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9942 a prime number?
No. 9942 = 2 × 3 × 1657, so it is divisible by 2.
What are the factors of 9942?
1, 2, 3, 6, 1657, 3314, 4971, 9942.
What is 9942 in binary?
10011011010110 (hexadecimal 26D6, octal 23326).
What is the square root of 9942?
About 99.7096.
Is 9942 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9942?
It is a composite number with 8 divisors.